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Sauron [17]
3 years ago
14

What is 7n-20=9(4n+1) ????

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
4 0
7n-20=9(4n+1)\ \ \ \ | omit\ the\ bracket\\\\
7n-20=36n+9\ \ \ | add\ 20\\\\
7n=36n+29\ \ \ | subtract\ 36n\\\\
-29n=29\ \ \ | divide\ by\ -29\\\\
n=-1\\\\Solution\ is\ n=-1.
Tresset [83]3 years ago
4 0
7n - 20 = 9(4n + 1) 
7n - 20 = 36n + 9
-7n - 20 = 36n - 7n + 9
-20 = 29n + 9
-20 - 9 = 29n - 9
-29= 29n 
29n = -29
n = -1

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Explanation:

The given quadratic is in the form y = ax^2 + bx + c

We have a = 1, b = 2, c = 2

This then leads to

h = -b/(2a)

h = -2/(2*1)

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This is the x coordinate of the vertex (h,k)

The axis of symmetry is the vertical line passing through the vertex. So it must share the x value in question.

Meaning the axis of symmetry is x = -1. Every point on this vertical line has an x coordinate of -1. This line of symmetry splits the parabola into two equal mirrored halves.

I recommend using a graphing tool like Desmos to visually confirm the answer.

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tensa zangetsu [6.8K]

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3 years ago
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guajiro [1.7K]

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hope this helps
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